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**Question 1**
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The amount of heat needed to raise the temperature of 10kg of copper by 1k is its

**Question 2**
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A slight loading of a tuning fork has the effect of

**Question 3**
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In a certain fusion reaction, a deuteron (21H ${}_{1}^{2}H$) interacts with a triton (31He ${}_{1}^{3}He$) and produces an a-particle (42He ${}_{2}^{4}He$) and a second product. The second product is

**Answer Details**

21H ${}_{1}^{2}H$ + 31H ${}_{1}^{3}H$ → $\to $ 42He ${}_{2}^{4}He$ + 10He

**Question 4**
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In the figure above, what is the angle of reflection of the ray of light at mirror M?

**Question 5**
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When one arm of a U-tube manometer is connected to a gas supply, the levels of mercury in the two arms of the U-tube is shown in the figure above, if the atmospheric pressure is 76.0cm hg, the gas pressure is

**Question 6**
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The wire X in the figure above is at right angles to the plane of the paper and carries a current into the paper. at which of the points labelled 1-4, will the magnetic flux density due to this current be in the same direction as that of the horizontal component of earth's magnetic field

**Question 7**
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A particle is injected perpendicularly into an electric field, it travels along a curved path as depicted in the image above,the particle is

**Question 8**
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A piano wire 0.5m long has a total mass of 0.01kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamental note

**Answer Details**

F = 12L $\frac{1}{2L}$√Tm $\sqrt{\frac{T}{m}}$

N:B m is mass per length

= 0.010.5 $\frac{0.01}{0.5}$

= 0.02kgm-1

F = 12×0.5 $\frac{1}{2\times 0.5}$√8000.02 $\sqrt{\frac{800}{0.02}}$

= 200Hz

**Question 9**
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Two forces whose resultant is 100N, are at right angle to each other. If one of them makes an angle 30o with the resultant, determine its magnitude.

**Answer Details**

COS 30o = F1100 $\frac{{F}_{1}}{100}$

F1 = 86.6N

**Question 10**
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Which of the following are the correct SI units of the quantities indicated? i.N(Force) II. Mn-1 (Torque) iii. watt(Power) iv. kgms-2

**Question 11**
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A particle starts from rest and moves with a constant acceleration of 0.5ms-2. The distance covered by the particle in 10s is

**Answer Details**

X = ut + 12 $\frac{1}{2}$at

= (0 x 10) + (12 $\frac{1}{2}$ x 0.05 x 10 x 10)

= 25m

**Question 12**
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When taking a penalty kick, a footballer applies a force of 30.0N for a period of 0.05s. if the mass of the ball is 0.075kg, calculate the speed with which the ball moves off.

**Answer Details**

F = m(v−u)T $\frac{m(v-u)}{T}$

30 = 0.75(v−0)0.05 $\frac{0.75(v-0)}{0.05}$

v = 20ms-1

**Question 13**
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The figure above shows two waveforms X and Y. If the frequency of X is 30Hz what is the frequency of Y

**Question 14**
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An object is placed 10cm in front of a concave mirror of focal length 15cm. What is the position and nature of the image formed?

**Answer Details**

F = uvu+v $\frac{uv}{u+v}$

15 = 10×v10+v $\frac{10\times v}{10+v}$

v = -30cm

**Question 15**
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Which of the following factors affects the speed of sound in air? i. Temperature ii. pressure iii. Frequency

**Question 16**
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When white light is dispersed by a spectrometer, the component having the shortest wavelength is

**Question 17**
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The figure above shows displacement-time graphs for three different motions. which of the following statements is correct

**Question 18**
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Which of the following media allow the transmission of sound wave through them i. Air. ii. Liquids. iii. Solids.

**Question 19**
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The figure above shows three different ways of hanging a heavy picture from a hook. the tension in the string will be

**Question 20**
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When a resistance R is across a cell, the voltage across the terminals of the cell is reduced to two-third of its normal value. The internal resistance of the cell is

**Answer Details**

IR = 23 $\frac{2}{3}$ I(R + r)

r = 12 $\frac{1}{2}$R

**Question 21**
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A force, 10N, drags a mass 10kg on a horizontal table with an acceleration of 0.2ms. If the acceleration due to gravity is 10ms-1, the coefficient of friction between the moving mass and the table is

**Answer Details**

μ $\mu $mg = ma

μ $\mu $ x 10 x 10 = 10 x 0.2

μ $\mu $ = 0.02

**Question 22**
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Which of the following statement is TRUE of ultraviolet, visible and infra-red rays?

**Question 23**
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A body whose mass is 2kg and has a volume of 500cm just floats when completely immersed in a liquid. Calculate the density of the liquid

**Answer Details**

since the object floats, density of liquid = density of object

D = mv $\frac{m}{v}$

= 2500×10 $\frac{2}{500\times 10}$

= 4.0 x 103kgm-3

**Question 24**
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A tap supplies water at 25oC while another supplies water at 75oC. If a man wishes to bathe with water at 40oC, the ratio of the mass of cold water to the mass of hot water required is

**Answer Details**

Heat lost = heat gained

mh x c x (75 - 40) = mc x c x (40 - 25)

mhmc $\frac{{m}_{h}}{{m}_{c}}$ = 3515 $\frac{35}{15}$

= 73

**Question 25**
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Which of the following ammeters may be used to measure alternating currents? i. moving-coil ammeter ii. moving-iron ammeter iii. hot-wire ammeter

**Question 26**
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A note is called an octave of another note when

**Question 27**
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The principle of operation of an induction coil is based on

**Question 28**
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E, F and G are yellow, red and cyan transparent light filters respectively. The color of a white opaque object when viewed through the arrangement of the filters above is

**Question 29**
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A household refrigerator is rated 200 watts. If electricity costs 5k per kWh, what is the cost of operating it in 20 days?

**Answer Details**

Energy(kWhr) = 200 x 10-3 x 20 x 24

= 96kwhr

1 kwhr cost 5 kobo ; 96 kwhr will cost

5 x 96 = 480 kobo

**Question 30**
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A 20-toothed gear wheel drives a 60-toothed one. If the angular speed of the smaller wheel is 120 rev s-1, the angular speed of the larger wheel is

**Answer Details**

speed of driverspeeder driven $\frac{\text{speed of driver}}{\text{speeder driven}}$ = no. of teeth of driverno. of teeth of driven $\frac{\text{no. of teeth of driver}}{\text{no. of teeth of driven}}$

120V $\frac{120}{V}$ = 2060 $\frac{20}{60}$

v = 360 rev s-1

**Question 31**
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A lorry travels 10km northwards, 4km eastwards, 6km southwards, 4km westwards to arrive at a point T. What is the total displacement?

**Question 32**
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Which of the following quantities are scalars? i. Electrical potential ii. Torque iii. Momentum iv. Kinetic energy

**Question 34**
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Which of the following phenomena explains the formation of a mirage? i. Reflection ii. Refraction iii. Diffraction

**Question 35**
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When heat is applied to one end of a metal rod, the molecules at the other end soon begin to vibrate with greater amplitude than before because heat has been transferred by

**Question 36**
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To obtain a magnification of 2.5, how far should an object be placed from the pole of a thin converging lens of focal length 10.20m?

**Answer Details**

v = 2.5u

F = uvu+v $\frac{uv}{u+v}$

0.2 = u×2.5uu+2.5u $\frac{u\times 2.5u}{u+2.5u}$

u = 0.28m

**Question 37**
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A cell of internal resistance 2 ohms supplies current to a 6 ohms resistor. The efficiency of the cell is

**Answer Details**

Efficiency = IRI(R+r) $\frac{IR}{I(R+r)}$ x 100

= 6I(2+6) $\frac{6}{I(2+6)}$ x 100

= 75%

**Question 38**
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Which of the following symbolic representations is correct for an atom X with 22 electrons and 43 neutrons?

**Question 39**
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A spectrum of sunlight is said to be impure when

**Question 40**
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In the circuit diagram above, the ammeter reads a current of 3A when R is 5 ohms and 6A when R is 6 ohms,the value of the unknown resistance X is

**Question 41**
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The product PV where P is pressure and V is volume has the same unit as

**Answer Details**

PV = Nm2 $\frac{N}{{m}^{2}}$ x m21 $\frac{{m}^{2}}{1}$

= Nm

**Question 42**
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The speed of sound in air at sea-level is 340ms-1 while that of light is 300 000kms-1. How far (to the nearest meter) from the center of a thunderstorm is an observer who hears a thunder 2s after a lightening flash?

**Question 43**
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Two strings of the same length and under the same tension gives notes of frequencies in the ratio 4 : 1. The masses of the strings are in the corresponding

**Answer Details**

F = 12L $\frac{1}{2L}$√Tm $\sqrt{\frac{T}{m}}$

F1F2 $\frac{{F}_{1}}{{F}_{2}}$ = √m2m1 $\sqrt{\frac{{m}_{2}}{{m}_{1}}}$

14 $\frac{1}{4}$ = √m2m1 $\sqrt{\frac{{m}_{2}}{{m}_{1}}}$

√m2m1 $\sqrt{\frac{{m}_{2}}{{m}_{1}}}$ = 12

**Question 44**
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How long will it take a 60kg man to climb a height of 22m if he expended energy at a rate of 0.25kW. [g = ms-2]

**Answer Details**

power = mgh

0.25 x 103 = 60×10×22t $\frac{60\times 10\times 22}{t}$

t = 52.8 sec

**Question 45**
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Which of the following properties is/are common to all waves? i. Diffraction ii. Refraction iii. Interference

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